PracticeQuestionsYears 1–7
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Mixed numbers and improper fractions

Year 4 · Lower Key Stage 2 · 4F-2 — Convert mixed numbers to improper fractions and vice versa

Draft — awaiting teacher review

Builds on: Multiplication as equal groups (Year 3)

I

Concept Anchor

To turn a mixed number into an improper fraction, count the parts in the wholes. Then add the extra parts. The denominator stays the same.

2 wholes + 3 quarters

Worked example

234=1142\tfrac{3}{4} = \tfrac{11}{4}

  1. 1.Each whole is 4 quarters.
  2. 2.2 wholes = 2×4=82 \times 4 = 8 quarters.
  3. 3.Add the 3 extra quarters: 8+3=118 + 3 = 11.
  4. 4.So 234=1142\tfrac{3}{4} = \tfrac{11}{4}.
II

Guided Check

Write 175\tfrac{17}{5} as a mixed number.

    III

    Independent Diagnostic Practice

    Q1Year 44F-2 — Mixed to improper·Fluency·●○○Draft — awaiting teacher review

    Write 1231\tfrac{2}{3} as an improper fraction.

    Q2Year 44F-1 — Locate mixed numbers·Reasoning·●●○Draft — awaiting teacher review

    Which number is marked on the number line?

    23
    Q3Year 44F-3 — Add fractions with the same denominator·Problem Solving·●●●Draft — awaiting teacher review

    Calculate 35+45\tfrac{3}{5} + \tfrac{4}{5} as a mixed number.